Answer:
son is 24 years old and daughter is 12 years old.
Step-by-step explanation:
Let the age of son = x years and age of the daughter = y years.
Now for equations
" The son is twice as old as the daughter "
x = 2y -------(1)
"After 4 years sum of all their ages will be 100."
56 + (x+4) + (y+4) = 100
x + y + 64 = 100
x + y = 100 - 64 = 36 ----------(2)
Now we substitute the values of x from equation (1) to (2)
2y + y = 36
3y = 36
y = 12
Now from equation (1)
x = 2 × 12
x = 24 years
Therefore, son is 24 years old and daughter is 12 years old.
